Soft Tissue Deformation

The computation of soft tissue behavior is a central topic of biomedical simulation. Numerous methods to model soft tissue have been proposed in the past. The key tradeoff to be considered is usually the real-time capability vs. the deformation accuracy. This tradeoff relates to the targeted application. Scientific analysis of biomedical material and instruments, for instance for the design of new products, requires a high level of accuracy. Thus, in this context offline calculations of high computational cost are usually required. In contrast to this, in surgical planning the requirements can be relaxed. This allows to increase the interactivity of planning systems, while the overall precision is reduced. This is usually accepted, since input data—such as the organ mechanical properties of a specific patient—are often not, or only approximately known. Finally, VR-based surgical simulation requires real-time updates of the computed scene. Therefore, the accuracy of deformations can often only be roughly approximated. This is referred to in the field as the computation of physically-plausible behavior. A point to consider in this context is the goal of a surgical simulation: in general the target is to achieve a training effect. This might not require a highly accurate reproduction of minute details of material behavior. Nevertheless, it is still an unsolved research question how realistic a deformation model has to be in a surgical simulator to achieve a certain training effect. Still, large inaccuracies in tissue behavior can potentially lead to negative training effects. Therefore, the selection of an appropriate deformation model is a key step in building a simulation system.

[1]  C Basdogan,et al.  Force interactions in laparoscopic simulations: haptic rendering of soft tissues. , 1998, Studies in health technology and informatics.

[2]  Mathieu Desbrun,et al.  Interactive Animation of Structured Deformable Objects , 1999, Graphics Interface.

[3]  K. Bathe,et al.  The method of finite spheres , 2000 .

[4]  Demetri Terzopoulos,et al.  Modeling inelastic deformation: viscolelasticity, plasticity, fracture , 1988, SIGGRAPH.

[5]  Hervé Delingette,et al.  Nonlinear and anisotropic elastic soft tissue models for medical simulation , 2001, Proceedings 2001 ICRA. IEEE International Conference on Robotics and Automation (Cat. No.01CH37164).

[6]  Andrew P. Witkin,et al.  Large steps in cloth simulation , 1998, SIGGRAPH.

[7]  John C. Platt,et al.  Elastically deformable models , 1987, SIGGRAPH.

[8]  Stephane Cotin,et al.  A hybrid elastic model for real-time cutting, deformations, and force feedback for surgery training and simulation , 2000, The Visual Computer.

[9]  Leif Kobbelt,et al.  Using Simulated Annealing to Obtain Good Nodal Approximations of Deformable Bodies , 1995 .

[10]  Dinesh K. Pai,et al.  A unified treatment of elastostatic contact simulation for real time haptics , 2005, SIGGRAPH Courses.

[11]  David Beeman,et al.  Some Multistep Methods for Use in Molecular Dynamics Calculations , 1976 .

[12]  Nathan M. Newmark,et al.  A Method of Computation for Structural Dynamics , 1959 .

[13]  H. Saunders Book Reviews : The Finite Element Method (Revised): O.C. Zienkiewicz McGraw-Hill Book Co., New York, New York , 1980 .

[14]  Daniel Bielser A framework for open surgery simulation , 2003 .

[15]  Morten Bro-Nielsen,et al.  Real‐time Volumetric Deformable Models for Surgery Simulation using Finite Elements and Condensation , 1996, Comput. Graph. Forum.

[16]  Mary Hegarty,et al.  A Virtual Environment Testbed for Training Laparoscopic Surgical Skills , 2000, Presence: Teleoperators & Virtual Environments.

[17]  Hervé Delingette,et al.  Toward realistic soft-tissue modeling in medical simulation , 1998, Proc. IEEE.

[18]  R. Ogden Non-Linear Elastic Deformations , 1984 .

[19]  Evgeny Gladilin,et al.  A biomechanical model for soft tissue simulation in craniofacial surgery , 2001, Proceedings International Workshop on Medical Imaging and Augmented Reality.

[20]  K. Bathe Finite Element Procedures , 1995 .

[21]  Gábor Székely,et al.  Identification of Spring Parameters for Deformable Object Simulation , 2007, IEEE Transactions on Visualization and Computer Graphics.

[22]  Carlos Alberto Brebbia,et al.  The Boundary Element Method for Engineers , 1978 .

[23]  Il-Kwon Jeong,et al.  An Oriented Particle and Generalized Spring Model for Fast Prototyping Deformable Objects , 2004, Eurographics.

[24]  R. Balaniuk,et al.  LEM-an approach for real time physically based soft tissue simulation , 2001, Proceedings 2001 ICRA. IEEE International Conference on Robotics and Automation (Cat. No.01CH37164).

[25]  Mariano Alcañiz Raya,et al.  A new approach for the real-time simulation of tissue deformations in surgery simulation , 2001, Comput. Methods Programs Biomed..

[26]  C Baur,et al.  VIRGY: a virtual reality and force feedback based endoscopic surgery simulator. , 1998, Studies in health technology and informatics.

[27]  Matthias Müller,et al.  A versatile and robust model for geometrically complex deformable solids , 2004, Proceedings Computer Graphics International, 2004..

[28]  R. Cook,et al.  Concepts and Applications of Finite Element Analysis , 1974 .

[29]  Suvranu De,et al.  Physically Realistic Virtual Surgery Using the Point-Associated Finite Field (PAFF) Approach , 2006, PRESENCE: Teleoperators and Virtual Environments.

[30]  Mark A Fleming,et al.  Meshless methods: An overview and recent developments , 1996 .

[31]  Hervé Delingette,et al.  Real-Time Large Displacement Elasticity for Surgery Simulation: Non-linear Tensor-Mass Model , 2000, MICCAI.

[32]  L. E. Malvern Introduction to the mechanics of a continuous medium , 1969 .

[33]  Dinesh K. Pai,et al.  ArtDefo: accurate real time deformable objects , 1999, SIGGRAPH.

[34]  Dong-Soo Kwon,et al.  Shape retaining chain linked model for real-time volume haptic rendering , 2002, Symposium on Volume Visualization and Graphics, 2002. Proceedings. IEEE / ACM SIGGRAPH.

[35]  Allen Van Gelder,et al.  Approximate Simulation of Elastic Membranes by Triangulated Spring Meshes , 1998, J. Graphics, GPU, & Game Tools.

[36]  Gábor Székely,et al.  Simultaneous Topology and Stiffness Identification for Mass-Spring Models Based on FEM Reference Deformations , 2004, MICCAI.